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On Disagreement Percolation and Maximality of the Critical Value for iid Percolation (2001)

Abstract
Two different problems are studied: For an infinite locally finite connected graph G, let pc(G) be the critical value for the existence of an infinite cluster in iid bond percolation on G and let Pc = sup{pc(G): G transitive, pc(G)

Publication details
Publisher Institute of Mathematical Statistics
Repository Electronic Journal of Probability (United States)
Keywords 60K35, 82B20, 82B26, 82B43; coupling, Ising model, random-cluster model, transitive graph, planar graph
Coverage ; ;